Finite Group Databasebeta

← Group #12258661

Character table — Group #12258661

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111222222222222222222222222444444444444444444222222224444444444444444444444448888888888888888882222222244444444444444444444444488888888888888888855555555101010101010101010101010101010101010101010101010202020202020202020202020202020202020
order1222222244444444444444444444444444444444444444444451010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202051010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202022222222444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ6111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ911111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ1011111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111
χ1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1211111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1
χ1711-1-1-1-11111-1-1ii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i1-11-11-111-1-1-1-11111-1-1ii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i1-11-11-111-1-1-1-11111-1-1ii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i1-11-11-111-1-1-1-11111-1-1ii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i1-11-11-1
χ1811-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-1-111-1-111i−ii−i−ii−ii−ii−ii1-1-11-1111-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-1-111-1-111i−ii−i−ii−ii−ii−ii1-1-11-1111-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-1-111-1-111i−ii−i−ii−ii−ii−ii1-1-11-1111-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-1-111-1-111i−ii−i−ii−ii−ii−ii1-1-11-11
χ1911-1-1-1-11111-1-1ii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i−ii−ii-111-1-1111-1-1-1-11111-1-1ii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i−ii−ii-111-1-1111-1-1-1-11111-1-1ii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i−ii−ii-111-1-1111-1-1-1-11111-1-1ii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i−ii−ii-111-1-11
χ2011-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−ii−ii−ii−iii−ii−i-11-111-111-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−ii−ii−ii−iii−ii−i-11-111-111-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−ii−ii−ii−iii−ii−i-11-111-111-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−ii−ii−ii−iii−ii−i-11-111-1
χ2111-1-1-1-11111-1-1−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii1-11-11-111-1-1-1-11111-1-1−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii1-11-11-111-1-1-1-11111-1-1−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii1-11-11-111-1-1-1-11111-1-1−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii1-11-11-1
χ2211-1-1-1-11111-1-1−i−iii−i−iii11-1-1-1-111-1-111−ii−iii−ii−ii−ii−i1-1-11-1111-1-1-1-11111-1-1−i−iii−i−iii11-1-1-1-111-1-111−ii−iii−ii−ii−ii−i1-1-11-1111-1-1-1-11111-1-1−i−iii−i−iii11-1-1-1-111-1-111−ii−iii−ii−ii−ii−i1-1-11-1111-1-1-1-11111-1-1−i−iii−i−iii11-1-1-1-111-1-111−ii−iii−ii−ii−ii−i1-1-11-11
χ2311-1-1-1-11111-1-1−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−iii−ii−i-111-1-1111-1-1-1-11111-1-1−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−iii−ii−i-111-1-1111-1-1-1-11111-1-1−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−iii−ii−i-111-1-1111-1-1-1-11111-1-1−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−iii−ii−i-111-1-11
χ2411-1-1-1-11111-1-1−i−iii−i−iii-1-111-1-11111-1-1i−ii−ii−ii−i−ii−ii-11-111-111-1-1-1-11111-1-1−i−iii−i−iii-1-111-1-11111-1-1i−ii−ii−ii−i−ii−ii-11-111-111-1-1-1-11111-1-1−i−iii−i−iii-1-111-1-11111-1-1i−ii−ii−ii−i−ii−ii-11-111-111-1-1-1-11111-1-1−i−iii−i−iii-1-111-1-11111-1-1i−ii−ii−ii−i−ii−ii-11-111-1
χ2511-1-1-1-111-1-111ii−i−i−i−iii11-1-111-1-111-1-1i−i−iii−i−iii−i−ii-11-11-1111-1-1-1-111-1-111ii−i−i−i−iii11-1-111-1-111-1-1i−i−iii−i−iii−i−ii-11-11-1111-1-1-1-111-1-111ii−i−i−i−iii11-1-111-1-111-1-1i−i−iii−i−iii−i−ii-11-11-1111-1-1-1-111-1-111ii−i−i−i−iii11-1-111-1-111-1-1i−i−iii−i−iii−i−ii-11-11-11
χ2611-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111-1-111i−i−ii−iii−i−iii−i-111-11-111-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111-1-111i−i−ii−iii−i−iii−i-111-11-111-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111-1-111i−i−ii−iii−i−iii−i-111-11-111-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111-1-111i−i−ii−iii−i−iii−i-111-11-1
χ2711-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1-1-111−iii−ii−i−ii−iii−i1-1-111-111-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1-1-111−iii−ii−i−ii−iii−i1-1-111-111-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1-1-111−iii−ii−i−ii−iii−i1-1-111-111-1-1-1-111-1-111ii−i−i−i−iii-1-11111-1-1-1-111−iii−ii−i−ii−iii−i1-1-111-1
χ2811-1-1-1-111-1-111ii−i−i−i−iii-1-111-1-11111-1-1−iii−i−iii−ii−i−ii1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iii-1-111-1-11111-1-1−iii−i−iii−ii−i−ii1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iii-1-111-1-11111-1-1−iii−i−iii−ii−i−ii1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iii-1-111-1-11111-1-1−iii−i−iii−ii−i−ii1-11-1-11
χ2911-1-1-1-111-1-111−i−iiiii−i−i11-1-111-1-111-1-1−iii−i−iii−i−iii−i-11-11-1111-1-1-1-111-1-111−i−iiiii−i−i11-1-111-1-111-1-1−iii−i−iii−i−iii−i-11-11-1111-1-1-1-111-1-111−i−iiiii−i−i11-1-111-1-111-1-1−iii−i−iii−i−iii−i-11-11-1111-1-1-1-111-1-111−i−iiiii−i−i11-1-111-1-111-1-1−iii−i−iii−i−iii−i-11-11-11
χ3011-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111-1-111−iii−ii−i−iii−i−ii-111-11-111-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111-1-111−iii−ii−i−iii−i−ii-111-11-111-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111-1-111−iii−ii−i−iii−i−ii-111-11-111-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111-1-111−iii−ii−i−iii−i−ii-111-11-1
χ3111-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1-1-111i−i−ii−iii−ii−i−ii1-1-111-111-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1-1-111i−i−ii−iii−ii−i−ii1-1-111-111-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1-1-111i−i−ii−iii−ii−i−ii1-1-111-111-1-1-1-111-1-111−i−iiiii−i−i-1-11111-1-1-1-111i−i−ii−iii−ii−i−ii1-1-111-1
χ3211-1-1-1-111-1-111−i−iiiii−i−i-1-111-1-11111-1-1i−i−iii−i−ii−iii−i1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i-1-111-1-11111-1-1i−i−iii−i−ii−iii−i1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i-1-111-1-11111-1-1i−i−iii−i−ii−iii−i1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i-1-111-1-11111-1-1i−i−iii−i−ii−iii−i1-11-1-11
χ332-222-2-22-20000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-222-2-22-20000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-222-2-22-20000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-222-2-22-20000000000002-22-22i−2i2i−2i2i−2i2i−2i000000000000000000
χ342-222-2-22-20000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-222-2-22-20000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-222-2-22-20000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-222-2-22-20000000000002-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000
χ352-222-2-22-2000000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000002-222-2-22-2000000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000002-222-2-22-2000000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000002-222-2-22-2000000000000-22-222i−2i2i−2i−2i2i−2i2i000000000000000000
χ362-222-2-22-2000000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000002-222-2-22-2000000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000002-222-2-22-2000000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000002-222-2-22-2000000000000-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000
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χ6111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
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χ6311111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111
χ6411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1
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χ20088-888-8-8-8000000000000000000000000000000000000000000−2−25−2−252+25−2−25−2−252+252+252+25000000000000000000000000000000000000000000−2+25−2+252−25−2+25−2+252−252−252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.